To take off from the ground, an airplane must reach a sufficiently high speed. T

Question

To take off from the ground, an airplane must reach a sufficiently high speed. The velocity required for the takeoff, the takeoff velocity, depends on several factors, including the weight of the aircraft and the wind velocity.

part A plane accelerates from rest at a constant rate of 5.00m/s2 along a runway that is 1800m long. Assume that the plane reaches the required takeoff velocity at the end of the runway. What is the time tTO needed to take off?

part C What is the distance dfirst traveled by the plane in the first second of its run?

Part D What is the distance dlast traveled by the plane in the last second before taking off?

Explanation / Answer

1800 = 0.5*5*t^2, hence TO time is t=?(2*1800/5) =26.83s;
d1=0.5*5*1^2 = 2.5m;
d2=1800 -0.5*5*(t-1)^2 =1800 -2.5*25.83^2 =131.67m;

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